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Popular >

(dy)/(dx)=-k(y-a)

Solution

\frac{d y}{d x} = - k (y - a)

Solution

y = e^{- k x + c_{1}} + a

Solution steps

\frac{d y}{d x} = - k (y - a)

Solve separable ODE:

y = e^{- k x + c_{1}} + a

y = e^{- k x + c_{1}} + a

Graph

Popular Examples

3 y ln (x) - x y^{^{'}} = 0

derivative of tan(x^2-4x^5)

\frac{d}{d x} (tan (x^{2} - 4 x^{5}))

derivative of 2x^{1/2}+6x^{1/3}-2x^{3/2}

\frac{d}{d x} (2 x^{\frac{1}{2}} + 6 x^{\frac{1}{3}} - 2 x^{\frac{3}{2}})

derivative of (sin(5x))/x derivative of

\frac{sin ( 5 x )}{x}

(y + x) y^{^{'}} = x - y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-k(y-a) ?
The solution for (dy)/(dx)=-k(y-a) is y=e^{-kx+c_{1}}+a